![]() In addition, to make a Full House you have 6 choices of value for the triple, and 5 choices for the double (a Yatzy can't be scored as Two Pair). Hence there are 6x10x5圆 = 1800 ways to roll Two Pair with an off-value. The off-value die can be any of 5 choices, and then there are 6 ways the two pairs could be placed among the other 4 dice. ![]() To make Two Pair with an off-value 5th die, there are 6 ways to choose the off-value, and 10 possible choices for the values of the pairs. ![]() If you roll all 5 dice, then there are 6^5 = 7776 possible rolls. I will be working on that assumption here. you can score a Full House as Two Pairs, but not Four of a Kind). In Yatzy or Yacht, which are common variants released elsewhere, the values of the pairs must be distinct values, but the fifth die may be a copy of one of the pairs (i.e. This is probably closer to being suited to the mathematics SE, but let's go through it.Īlso, funnily enough as far as I can tell there is no scoring option for "Two Pairs" in Yahtzee as officially released by Hasbro. ![]()
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